Wildsmith has played five times for the Owls this season, and kept a clean sheet in the Yorkshire side's most recent outing - a 1-0 League Cup win over Premier League outfit Newcastle United.
The 19-year-old's presence in goal belies his tender years, and Carvalhal was quick to praise the work that goalkeeping coach Andy Rhodes has done on the training ground.
CC: Joe is a goalkeeper with a big, big future. I must give congratulations to Andy Rhodes for his work with the goalkeepers #swfcLIVE— Sheffield Wednesday (@swfc) September 24, 2015
Wildsmith is unlikely to displace Keiren Westwood as Wednesday's number one in the immediate future, but he is showcasing how much of a talent he could become.
In the five games Wildsmith has played for Wednesday this season, the side have conceded just six goals and he has recently kept back-to-back clean-sheets.
The youngster has previously gained experience on loan spells with Barnsley and Alfreton, but Carvalhal has given him his first chance to show what he can do to the Hillsborough faithful.
He has taken that opportunity with relish, and now looks set to continue as Wednesday's number two, knocking the more experienced Lewis Price down the pecking order.